Question

The first three terms of a sequence are given. Round to the nearest thousandth. 10, 5, 5/2. Find the 6th term

Answer 1

5/16

Explanation:

This is a geometric sequence

aₙ=a₁*rⁿ⁻¹

a₆=10*.5⁶⁻¹

a₆=10*.5⁵

a₆=10*(1/2)⁻⁵

a₆=10*1/32

a₆=10/32=5/16